 | James Pycroft - Classical education - 1843 - 256 pages
...complicated nature, any more than the Moralist should suppose he can render it highly probable that the three interior angles of every triangle are equal to two right angles, or the Orator exhaust his powers of persuasion in trying to enlist the affections in favour of the... | |
 | Euclid - Geometry - 1845 - 218 pages
...THEOR. — If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal... | |
 | London univ - 1846 - 326 pages
...sides of a triangle are together greater than a third side. 3. If a side of a triangle be produced, the exterior angle is equal to the two interior opposite...angles of every triangle are equal to two right angles. Prove this, and deduce Euclid's corollary for determining the sum of the interior angles of any rectilineal... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC he produced to D ; the exterior angle ACD is equal... | |
 | Euclides - 1846 - 292 pages
...XXXII. THEOR. If any side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : the exterior angle ACD shall... | |
 | Dennis M'Curdy - Geometry - 1846 - 166 pages
...of a triangle be produced, the exterior angle (ACD) is equal to the two interior angles (A and B) ; and the three interior angles of every triangle are equal to two right angles. Argument. Through C draw CE parallel to AB (a). Then because AC meets the parallels AB, CE, the alternate... | |
 | Outlines - Ethics - 1846 - 160 pages
...three angles. The fourth is, when the predicate is made to affirm the property of the subject, as, The angles of every triangle are equal to two right angles. In the fifth, the predicate asserts something accidental of the subject, as, This figure is neatly drawn.... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles. produced to D; then will the exterior angle ACD be equal to the sum of the two interior and opposite... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D; the exterior angle ACD is equal... | |
 | Charles Astor Bristed - 1852 - 470 pages
...other. 2. If the sides of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 3. Divide a given straight line into two such parts, that the rectangle contained by the whole and... | |
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If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 
